Generalization of banach contraction principle in two directions
El-Shobaky, Entisarat; Mohamed Ali Abou Bakr, Sahar; Ali, Montaser Saudi;
Abstract
We showed that the generalized contraction mapping defined on a closed convex subset of a weakly Cauchy normed space has a unique fixed point. Moreover, the sequence of iterates of any element in the domain of the given mapping is converging strongly to the fixed point of such a mapping. © 2007 Science Publications.
Other data
| Title | Generalization of banach contraction principle in two directions | Authors | El-Shobaky, Entisarat; Mohamed Ali Abou Bakr, Sahar ; Ali, Montaser Saudi | Keywords | Banach contraction principle;Weakly Cauchy normed spaces;{a,b,c}-contraction mapping | Issue Date | 1-Jan-2007 | Journal | Journal of Mathematics and Statistics | ISSN | 15493644 | DOI | 10.3844/jmssp.2007.112.115 | Scopus ID | 2-s2.0-34548177255 |
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